5. Is it better to fish from the shore or a boat? Let x be a random variable representing the number of hours taken to catch a fish. The table below contains the data taken over several months for B from the shore, and A from a boat. Oct AON 1.8 Dec Jan Feb Mar Apr B (shore) 1.6 2.0 3.2 3.6 3.3 A (boat) 1.5 1.4 1.6 2.2 3.3 3.8 Use a 1% level of significance to determine if there is a difference in the population mean hours per fish using a boat compared with fishing from shore. (This is a paired difference problem.)

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ISBN:9781119256830
Author:Amos Gilat
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#5 it has to be in the format of the sheet on page 2. The answers are different from a different problem. Its a paired difference problem.

b. Using the sample data, generate a 99% confidence interval for u. Please do this part on a
separate blank page!
4. Women athletes at a university have a long term graduation rate of 67%. Over the past several
vears, a random sample of 38 women athletes at the school showed that 21 eventually graduated.
Does this indicate that the population proportion of women athletes who graduate from this
university has changed (either way)? Use a 1% level of significance.
5. Is it better to fish from the shore or a boat? Let x be a random variable representing the number of
hours taken to catch a fish. The table below contains the data taken over several months for B from
the shore, and A from a boat.
Oct
Dec
Jan
Feb
Mar
Apr
B (shore)
1.8
3.2
3.3
A (boat)
1.5
1.4
2.2
3.3
3.0
3.8
Use a 1% level of significance to determine if there is a difference in the population mean hours per
fish using a boat compared with fishing from shore. (This is a paired difference problem.)
6. In a location two random samples were taken concerning the rate of hay fever per 1000 population.
Sample 1 (n, = 14) contained people under 25, sample 2 (n2 = 16) contained people over 50.
%3D
1= 109.5 s, = 15.41
X2 = 99.36 s, = 11.57
Assume that the hay fever rate in each group has an approximately normal distribution. Do the data
indicate that the over 50 group has a significantly lower hay fever rate? (Use a = 5%)
(Note: Several of these problems have been adapted from our text.)
TESTING:
Random Variable:
Special considerations/characteristics:
Given:
Transcribed Image Text:b. Using the sample data, generate a 99% confidence interval for u. Please do this part on a separate blank page! 4. Women athletes at a university have a long term graduation rate of 67%. Over the past several vears, a random sample of 38 women athletes at the school showed that 21 eventually graduated. Does this indicate that the population proportion of women athletes who graduate from this university has changed (either way)? Use a 1% level of significance. 5. Is it better to fish from the shore or a boat? Let x be a random variable representing the number of hours taken to catch a fish. The table below contains the data taken over several months for B from the shore, and A from a boat. Oct Dec Jan Feb Mar Apr B (shore) 1.8 3.2 3.3 A (boat) 1.5 1.4 2.2 3.3 3.0 3.8 Use a 1% level of significance to determine if there is a difference in the population mean hours per fish using a boat compared with fishing from shore. (This is a paired difference problem.) 6. In a location two random samples were taken concerning the rate of hay fever per 1000 population. Sample 1 (n, = 14) contained people under 25, sample 2 (n2 = 16) contained people over 50. %3D 1= 109.5 s, = 15.41 X2 = 99.36 s, = 11.57 Assume that the hay fever rate in each group has an approximately normal distribution. Do the data indicate that the over 50 group has a significantly lower hay fever rate? (Use a = 5%) (Note: Several of these problems have been adapted from our text.) TESTING: Random Variable: Special considerations/characteristics: Given:
wvc.hosted.panopto.com
TESTING:
Random Variable:
Special considerations/characteristics:
SAMPLE
Normal Suoker
SAMPLING DISTRIBUTION X
POPULATION
B. What Type: Staderdu-t
21OU
N=10%-
Why Justified: es, pop & norme
Test Statistic: t
9E'l = 3
dF
Test Statistic Value:
= 10
%3D
%3D
%3D
%3D
97696
- x = 7
268
マン
%3D
%3D
日十2*1
11 = FP
anj
1.248
D. Compare
Reject or Fail to Reject?
27
Transcribed Image Text:wvc.hosted.panopto.com TESTING: Random Variable: Special considerations/characteristics: SAMPLE Normal Suoker SAMPLING DISTRIBUTION X POPULATION B. What Type: Staderdu-t 21OU N=10%- Why Justified: es, pop & norme Test Statistic: t 9E'l = 3 dF Test Statistic Value: = 10 %3D %3D %3D %3D 97696 - x = 7 268 マン %3D %3D 日十2*1 11 = FP anj 1.248 D. Compare Reject or Fail to Reject? 27
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